The Turkish state will not have sanctioned the assassination of a Russian state official. This will have been the work of an Islamic extremist, most likely linked to IS or one of the other Syrian jihadist groups.

Relations between Russia and Turkey haven't been great, but Putin and Erdogan have been making an effort to smooth things over of late. It's unlikely they will want to jeopardise that. As long as there is no hint of Turkish state complicity and Erdogan is able to make a decent show of publicly cracking down on whichever group is behind this, then my guess is that it will blow over.